What is the Greatest Common Factor of 45930 and 45946?

Greatest common factor (GCF) of 45930 and 45946 is 2.

GCF(45930,45946) = 2

We will now calculate the prime factors of 45930 and 45946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45930 and 45946.

How to find the GCF of 45930 and 45946?

We will first find the prime factorization of 45930 and 45946. After we will calculate the factors of 45930 and 45946 and find the biggest common factor number .

Step-1: Prime Factorization of 45930

Prime factors of 45930 are 2, 3, 5, 1531. Prime factorization of 45930 in exponential form is:

45930 = 2¹ × 3¹ × 5¹ × 1531¹

Step-2: Prime Factorization of 45946

Prime factors of 45946 are 2, 22973. Prime factorization of 45946 in exponential form is:

45946 = 2¹ × 22973¹

Step-3: Factors of 45930

List of positive integer factors of 45930 that divides 45930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1531, 3062, 4593, 7655, 9186, 15310, 22965

Step-4: Factors of 45946

List of positive integer factors of 45946 that divides 45930 without a remainder.

1, 2, 22973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45930 and 45946. The biggest common factor number is the GCF number.
So the greatest common factor 45930 and 45946 is 2.

Also check out the Least Common Multiple of 45930 and 45946